find the greatest number that will divide 445 572 and 699 leaving remainder 4 ,5, 6 respectively.
Answers
Answered by
32
Answer: 63
Step-by-step explanation: When we subtract the numbers from its reminder then we can get the number which can be divided by the greatest common divisor.
Therefore,
445 - 4 = 441
572 - 5 = 567
699 - 6 = 693
●●●●●●
441 = 3^2 × 7^2
567 = 3^4 × 7
693 = 3^2 × 7
For HCF we take the smallest exponent of the common factors
= 3^2 × 7
=63
Therefore 63 is the greatest number.
Answered by
10
Answer:63
Step-by-step explanation:.........
Attachments:
Similar questions